What is the Greatest Common Factor of 15920 and 15937?

Greatest common factor (GCF) of 15920 and 15937 is 1.

GCF(15920,15937) = 1

We will now calculate the prime factors of 15920 and 15937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15920 and 15937.

How to find the GCF of 15920 and 15937?

We will first find the prime factorization of 15920 and 15937. After we will calculate the factors of 15920 and 15937 and find the biggest common factor number .

Step-1: Prime Factorization of 15920

Prime factors of 15920 are 2, 5, 199. Prime factorization of 15920 in exponential form is:

15920 = 2⁴ × 5¹ × 199¹

Step-2: Prime Factorization of 15937

Prime factors of 15937 are 15937. Prime factorization of 15937 in exponential form is:

15937 = 15937¹

Step-3: Factors of 15920

List of positive integer factors of 15920 that divides 15920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 199, 398, 796, 995, 1592, 1990, 3184, 3980, 7960

Step-4: Factors of 15937

List of positive integer factors of 15937 that divides 15920 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15920 and 15937. The biggest common factor number is the GCF number.
So the greatest common factor 15920 and 15937 is 1.

Also check out the Least Common Multiple of 15920 and 15937